You can convert a ticket to a project. However, doing so does not reassociate the user's time from the ticket to the project. The icon in the image you are referring to is used to denote a task on a project that was converted to a ticket. This is the best way to associate a ticket to a project. But, as I mentioned, it does not reassociate the user's time to the project itself. I hope this helps add some clarity. If you have any further questions, please let us know.